TSTP Solution File: NUM615+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM615+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 12:28:15 EDT 2022
% Result : Theorem 2.58s 2.80s
% Output : CNFRefutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 59 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 61 ( 27 ~; 15 |; 15 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) ) ).
fof(m__5182,hypothesis,
? [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W0) = xp ) ).
fof(m__,conjecture,
? [W0] :
( ( ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) )
| aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,W0) = xp ) ).
fof(subgoal_0,plain,
? [W0] :
( ( ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) )
| aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,W0) = xp ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( ( ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) )
| aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& sdtlpdtrp0(xe,W0) = xp ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [W0] :
( sdtlpdtrp0(xe,W0) = xp
& aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(canonicalize,[],[m__5182]) ).
fof(normalize_0_1,plain,
( sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) = xp
& aElementOf0(skolemFOFtoCNF_W0_1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
aElementOf0(skolemFOFtoCNF_W0_1,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ) ),
inference(canonicalize,[],[m__4854]) ).
fof(normalize_0_5,plain,
! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,W0) != szDzizrdt0(xd)
| ~ aElementOf0(W0,szDzozmdt0(xd)) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(simplify,[],[normalize_0_3,normalize_0_6]) ).
fof(normalize_0_8,plain,
! [W0] :
( sdtlpdtrp0(xe,W0) != xp
| ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) = xp,
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
aElementOf0(skolemFOFtoCNF_W0_1,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( sdtlpdtrp0(xe,W0) != xp
| ~ aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_2,plain,
( sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) != xp
| ~ aElementOf0(skolemFOFtoCNF_W0_1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(subst,[],[refute_0_1:[bind(W0,$fot(skolemFOFtoCNF_W0_1))]]) ).
cnf(refute_0_3,plain,
sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) != xp,
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0_1,sdtlbdtrb0(xd,szDzizrdt0(xd))) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) = xp,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) != xp
| xp != xp
| sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) = xp ),
introduced(tautology,[equality,[$cnf( ~ $equal(sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1),xp) ),[0],$fot(xp)]]) ).
cnf(refute_0_6,plain,
( xp != xp
| sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1) = xp ),
inference(resolve,[$cnf( $equal(sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1),xp) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
xp != xp,
inference(resolve,[$cnf( $equal(sdtlpdtrp0(xe,skolemFOFtoCNF_W0_1),xp) )],[refute_0_6,refute_0_3]) ).
cnf(refute_0_8,plain,
xp = xp,
introduced(tautology,[refl,[$fot(xp)]]) ).
cnf(refute_0_9,plain,
$false,
inference(resolve,[$cnf( $equal(xp,xp) )],[refute_0_8,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM615+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 13:07:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.58/2.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.58/2.80
% 2.58/2.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.58/2.80
%------------------------------------------------------------------------------